1
|
Svensson P, Aziz Y, Dornheim T, Azadi S, Hollebon P, Skelt A, Vinko SM, Gregori G. Modeling of warm dense hydrogen via explicit real-time electron dynamics: Dynamic structure factors. Phys Rev E 2024; 110:055205. [PMID: 39690610 DOI: 10.1103/physreve.110.055205] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/12/2024] [Accepted: 10/08/2024] [Indexed: 12/19/2024]
Abstract
We present two methods for computing the dynamic structure factor for warm dense hydrogen without invoking either the Born-Oppenheimer approximation or the Chihara decomposition, by employing a wave-packet description that resolves the electron dynamics during ion evolution. First, a semiclassical method is discussed, which is corrected based on known quantum constraints, and second, a direct computation of the density response function within the molecular dynamics. The wave-packet models are compared to PIMC and DFT-MD for the static and low-frequency behavior. For the high-frequency behavior the models recover the expected behavior in the limits of small and large momentum transfers and show the characteristic flattening of the plasmon dispersion for intermediate momentum transfers due to interactions, in agreement with commonly used models for x-ray Thomson scattering. By modeling the electrons and ions on an equal footing, both the ion and free electron part of the spectrum can now be treated within a single framework where we simultaneously resolve the ion-acoustic and plasmon mode, with a self-consistent description of collisions and screening.
Collapse
Affiliation(s)
| | - Yusuf Aziz
- AWE, Aldermaston, Reading, Berkshire RG7 4PR, United Kingdom
| | | | | | | | - Amy Skelt
- AWE, Aldermaston, Reading, Berkshire RG7 4PR, United Kingdom
| | | | | |
Collapse
|
2
|
Descamps A, Ofori-Okai BK, Appel K, Cerantola V, Comley A, Eggert JH, Fletcher LB, Gericke DO, Göde S, Humphries O, Karnbach O, Lazicki A, Loetzsch R, McGonegle D, Palmer CAJ, Plueckthun C, Preston TR, Redmer R, Senesky DG, Strohm C, Uschmann I, White TG, Wollenweber L, Monaco G, Wark JS, Hastings JB, Zastrau U, Gregori G, Glenzer SH, McBride EE. An approach for the measurement of the bulk temperature of single crystal diamond using an X-ray free electron laser. Sci Rep 2020; 10:14564. [PMID: 32884061 PMCID: PMC7471281 DOI: 10.1038/s41598-020-71350-x] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/20/2020] [Accepted: 08/06/2020] [Indexed: 11/25/2022] Open
Abstract
We present a method to determine the bulk temperature of a single crystal diamond sample at an X-Ray free electron laser using inelastic X-ray scattering. The experiment was performed at the high energy density instrument at the European XFEL GmbH, Germany. The technique, based on inelastic X-ray scattering and the principle of detailed balance, was demonstrated to give accurate temperature measurements, within [Formula: see text] for both room temperature diamond and heated diamond to 500 K. Here, the temperature was increased in a controlled way using a resistive heater to test theoretical predictions of the scaling of the signal with temperature. The method was tested by validating the energy of the phonon modes with previous measurements made at room temperature using inelastic X-ray scattering and neutron scattering techniques. This technique could be used to determine the bulk temperature in transient systems with a temporal resolution of 50 fs and for which accurate measurements of thermodynamic properties are vital to build accurate equation of state and transport models.
Collapse
Affiliation(s)
- A Descamps
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA.
- Aeronautics and Astronautics Department, Stanford University, Stanford, CA, 94305, USA.
| | - B K Ofori-Okai
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA
| | - K Appel
- European X-Ray Free-Electron Laser Facility GmbH, Holzkoppel 4, 22869, Schenefeld, Germany
| | - V Cerantola
- European X-Ray Free-Electron Laser Facility GmbH, Holzkoppel 4, 22869, Schenefeld, Germany
| | - A Comley
- Atomic Weapons Establishment, Aldermaston, Reading, RG7 4PR, UK
| | - J H Eggert
- Lawrence Livermore National Laboratory, Livermore, CA, 94550, USA
| | - L B Fletcher
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA
| | - D O Gericke
- Centre for Fusion, Space and Astrophysics, Department of Physics, University of Warwick, Coventry, CV4 7AL, UK
| | - S Göde
- European X-Ray Free-Electron Laser Facility GmbH, Holzkoppel 4, 22869, Schenefeld, Germany
| | - O Humphries
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford, OX1 3PU, UK
| | - O Karnbach
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford, OX1 3PU, UK
| | - A Lazicki
- Lawrence Livermore National Laboratory, Livermore, CA, 94550, USA
| | - R Loetzsch
- Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany
- Helmholtz-Institut Jena, Fröbelstieg 3, 07743, Jena, Germany
| | - D McGonegle
- Atomic Weapons Establishment, Aldermaston, Reading, RG7 4PR, UK
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford, OX1 3PU, UK
| | - C A J Palmer
- School of Mathematics and Physics, Queen's University, University Road BT7 1NN, Belfast, UK
| | - C Plueckthun
- European X-Ray Free-Electron Laser Facility GmbH, Holzkoppel 4, 22869, Schenefeld, Germany
| | - T R Preston
- European X-Ray Free-Electron Laser Facility GmbH, Holzkoppel 4, 22869, Schenefeld, Germany
| | - R Redmer
- Institut für Physik, Universität Rostock, A.-Einstein-Str. 23-24, 18059, Rostock, Germany
| | - D G Senesky
- Aeronautics and Astronautics Department, Stanford University, Stanford, CA, 94305, USA
| | - C Strohm
- European X-Ray Free-Electron Laser Facility GmbH, Holzkoppel 4, 22869, Schenefeld, Germany
- Deutsches Elektronen Synchrotron, Notkestrasse 85, 22607, Hamburg, Germany
| | - I Uschmann
- Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany
- Helmholtz-Institut Jena, Fröbelstieg 3, 07743, Jena, Germany
| | - T G White
- University of Nevada, Reno, NV, 89557, USA
| | - L Wollenweber
- European X-Ray Free-Electron Laser Facility GmbH, Holzkoppel 4, 22869, Schenefeld, Germany
| | - G Monaco
- Dipartimento di Fisica, Università di Trento, Via Sommarive 14, 38123, Povo, TN, Italy
| | - J S Wark
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford, OX1 3PU, UK
| | - J B Hastings
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA
| | - U Zastrau
- European X-Ray Free-Electron Laser Facility GmbH, Holzkoppel 4, 22869, Schenefeld, Germany
| | - G Gregori
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford, OX1 3PU, UK
| | - S H Glenzer
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA
| | - E E McBride
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA
| |
Collapse
|